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Finding the Third Proportional to 228,066.75 and 353,171.25

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Solution

The third proportional to 228,066.75 and 353,171.25 is: 546,900.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,066.75 : 353,171.25 = 353,171.25 : x
  2. Step 2: Convert to fraction form
    228,066.75/353,171.25 = 353,171.25/x
  3. Step 3: Cross multiply
    228,066.75x = 353,171.25 × 353,171.25
  4. Step 4: Simplify right side
    228,066.75x = 124,729,931,826.56
  5. Step 5: Solve for x
    x = 124,729,931,826.56/228,066.75
  6. Step 6: Final answer
    x = 546,900.99

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.